Submission #1092329

#TimeUsernameProblemLanguageResultExecution timeMemory
1092329ortsacRobot (JOI21_ho_t4)C++17
0 / 100
39 ms17444 KiB
#include <bits/stdc++.h>
 
using namespace std;

#define pii pair<int, int>
#define fr first
#define se second
#define ll long long

ll INF = 0x3f3f3f3f3f3f3f3f;

struct State {
    int edge;
    bool order;
    bool k;
    State(const int& a = 0, const bool& b = 0, const bool& c = 0) : edge(a), order(b), k(c) {}
    bool operator < (const State& a) const {
        return (make_pair(edge, make_pair(order, k)) < make_pair(a.edge, make_pair(a.order, a.k)));
    }
};

struct Edge {
    int to, cor, p, idx;
    bool order;
    Edge(const int& a = 0, const int& b = 0, const int& c = 0, const int& d = 0, const bool& e = 0) : to(a), cor(b), p(c), idx(d), order(e) {}
    bool operator < (const Edge& a) const {
        return (make_pair(cor, idx) < make_pair(a.cor, a.idx));
    }
};

const int MAXN = 1e5 + 10;
const int MAXM = 2e5 + 10;
vector<Edge> adj[MAXN];
pii edges[MAXM];
ll d[2][2][MAXM];
bool vis[2][2][MAXM];
bool prop[2][2][MAXM];
int edgeCor[MAXM];
int edgeP[MAXM];
vector<int> pCor[MAXN];

int32_t main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    int n, m;
    cin >> n >> m;
    for (int i = 1; i <= m; i++) {
        int a, b, c, p;
        cin >> a >> b >> c >> p;
        adj[a].push_back(Edge(b, c, p, i, 1));
        adj[b].push_back(Edge(a, c, p, i, 0));
        edges[i] = {a, b};
        edgeCor[i] = c;
        edgeP[i] = p;
    }
    for (int i = 1; i <= n; i++) {
        sort(adj[i].begin(), adj[i].end());
    }
    deque<pair<ll, State>> pq;
    for (int v = 1; v <= n; v++) {
        int t = adj[v].size();
        int start = 0, curr = 0;
        vector<int> ans(t);
        for (int i = 0; i < t; i++) {
            if (adj[v][start].cor != adj[v][i].cor) {
                for (int j = start; j < i; j++) ans[j] = curr;
                curr = 0;
                start = i;
            }
            curr += adj[v][i].p;
        }
        for (int i = start; i < t; i++) ans[i] = curr;
        pCor[v] = ans;
    }
    edges[0] = {1, 0};
    pq.push_back(make_pair(0, State(0, 0, 0)));
    vis[0][0][0] = 1;
    while (!pq.empty()) {
        auto node = pq.front().second;
        pq.pop_front();
        if (prop[node.k][node.order][node.edge]) continue;
        prop[node.k][node.order][node.edge] = 1;
        pii abc = edges[node.edge];
        if (node.order) swap(abc.fr, abc.se);
        int v = abc.fr;
        int x = abc.se;
        ll dn = d[node.k][node.order][node.edge];
        if (v == n) {
            cout << dn << "\n";
            return 0;
        }
        int i = 0;
        for (auto u : adj[v]) {
            if (u.to == x) continue;
            // sem mudar a cor
            State p1(u.idx, u.order, 0);
            ll p = (pCor[v][i] - u.p);
            if (node.k && (edgeCor[node.edge] == u.cor)) p -= edgeP[node.edge];
            i++;
            ll np1 = (dn + p);
            if (p == 0) {
                if (!vis[p1.k][p1.order][p1.edge]) {
                    vis[p1.k][p1.order][p1.edge] = 1;
                    d[p1.k][p1.order][p1.edge] = np1;
                    pq.push_front({-np1, p1});
                } else if (np1 < d[p1.k][p1.order][p1.edge]) {
                    d[p1.k][p1.order][p1.edge] = np1;
                    pq.push_front({-np1, p1});
                }
            }
            // mudando
            State p2(u.idx, u.order, 1);
            ll np2 = (dn + u.p);
            if (!vis[p2.k][p2.order][p2.edge]) {
                vis[p2.k][p2.order][p2.edge] = 1;
                d[p2.k][p2.order][p2.edge] = np2;
                pq.push_back({-np2, p2});
            } else if (np2 < d[p2.k][p2.order][p2.edge]) {
                d[p2.k][p2.order][p2.edge] = np2;
                pq.push_back({-np2, p2});
            }
        }
    }
    cout << "-1\n";
}
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